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Acceleration. Chapter 2 Section 2. Acceleration. Acceleration – The quantity that describes the rate of change of velocity in a given time interval. Average Acceleration – The average change in velocity divided by the change in time. Acceleration Equation. Acceleration Units.

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acceleration

Acceleration

Chapter 2 Section 2

acceleration1
Acceleration
  • Acceleration – The quantity that describes the rate of change of velocity in a given time interval.
  • Average Acceleration – The average change in velocity divided by the change in time.
acceleration units
Acceleration Units
  • The SI units for acceleration “m/s²”
    • Acceleration = velocity/time = m/s/s = m/s²
acceleration vector
Acceleration Vector
  • Acceleration is a vector quantity
    • Has both magnitude and direction
  • Since acceleration is a vector, it can have a positive or negative value.
    • If acceleration and velocity are in the same direction, the object speeds up.
    • If the acceleration and velocity are in opposite directions, the object slows downs.
graphing linear motion
Graphing Linear Motion
  • The slope and shape of a single graph can describe the motion of an object’s displacement, velocity, and acceleration vs. time.
    • Slope = rise / run
      • Rise – Dependant Variable (y-axis)
      • Run – Independent Variable (x-axis)
relating displacement velocity and acceleration
Relating Displacement, Velocity and Acceleration
  • On a Displacement vs. Time graph
    • Rise / Run = Slope
    • Displacement / Time = Velocity
      • The tangent line of a single point on a (d vs. t) graph is equal to the instantaneous velocity at that moment in time.
  • On a Velocity vs. Time graph
    • Velocity / Time = Acceleration
      • The tangent line of a single point on a (v vs. t) graph is equal to the instantaneous acceleration at that moment in time.
graphing hints
Graphing Hints

d vs. t

V vs. t

a vs. t

Area

Slope

Slope

Area

d vs. t

Slope = Velocity

V vs. t

Slope = Acceleration

a vs. t

Area = Velocity

V vs. t

Area = Displacement

=>

=>

=>

graph of a single object in motion
Graph of a Single Object In Motion

displacement

vs.

time

velocity

vs.

time

acceleration

vs.

time

d

v

a

t

t

t

object in free fall
Object In Free Fall

displacement

vs.

time

velocity

vs.

time

acceleration

vs.

time

d

v

a

t

t

t

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